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Finding the Third Proportional to 370,129 and 803,678

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Solution

The third proportional to 370,129 and 803,678 is: 1,745,062.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,129 : 803,678 = 803,678 : x
  2. Step 2: Convert to fraction form
    370,129/803,678 = 803,678/x
  3. Step 3: Cross multiply
    370,129x = 803,678 × 803,678
  4. Step 4: Simplify right side
    370,129x = 645,898,327,684
  5. Step 5: Solve for x
    x = 645,898,327,684/370,129
  6. Step 6: Final answer
    x = 1,745,062.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.